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  2. Conversion of units - Wikipedia

    en.wikipedia.org/wiki/Conversion_of_units

    Conversion of units is the conversion of the unit of measurement in which a quantity is expressed, typically through a multiplicative conversion factor that changes the unit without changing the quantity. This is also often loosely taken to include replacement of a quantity with a corresponding quantity that describes the same physical property ...

  3. International System of Units - Wikipedia

    en.wikipedia.org/wiki/International_System_of_Units

    mole. amount of substance. cd. candela. luminous intensity. The SI comprises a coherent system of units of measurement starting with seven base units, which are the second (symbol s, the unit of time), metre (m, length), kilogram (kg, mass), ampere (A, electric current), kelvin (K, thermodynamic temperature), mole (mol, amount of substance ...

  4. Millimetre - Wikipedia

    en.wikipedia.org/wiki/Millimetre

    Different lengths as in respect to the electromagnetic spectrum, measured by the metre and its derived scales.The microwave is between 1 meter to 1 millimeter.. The millimetre (international spelling; SI unit symbol mm) or millimeter (American spelling) is a unit of length in the International System of Units (SI), equal to one thousandth of a metre, which is the SI base unit of length.

  5. List of formulas in Riemannian geometry - Wikipedia

    en.wikipedia.org/wiki/List_of_formulas_in...

    Principal symbol. The variation formula computations above define the principal symbol of the mapping which sends a pseudo-Riemannian metric to its Riemann tensor, Ricci tensor, or scalar curvature. The principal symbol of the map assigns to each a map from the space of symmetric (0,2)-tensors on to the space of (0,4)-tensors on given by.

  6. Metric tensor - Wikipedia

    en.wikipedia.org/wiki/Metric_tensor

    A metric tensor at p is a function gp(Xp, Yp) which takes as inputs a pair of tangent vectors Xp and Yp at p, and produces as an output a real number (scalar), so that the following conditions are satisfied: gp is bilinear. A function of two vector arguments is bilinear if it is linear separately in each argument.

  7. Metre - Wikipedia

    en.wikipedia.org/wiki/Metre

    The metre (or meter in US spelling; symbol: m) is the base unit of length in the International System of Units (SI). Since 2019, the metre has been defined as the length of the path travelled by light in vacuum during a time interval of ⁠ 1 / 299 792 458 ⁠ of a second, where the second is defined by a hyperfine transition frequency of caesium.

  8. Fundamental theorem of Riemannian geometry - Wikipedia

    en.wikipedia.org/wiki/Fundamental_theorem_of...

    In the mathematical field of Riemannian geometry, the fundamental theorem of Riemannian geometry states that on any Riemannian manifold (or pseudo-Riemannian manifold) there is a unique affine connection that is torsion-free and metric-compatible, called the Levi-Civita connection or (pseudo-)Riemannian connection of the given metric.

  9. Metric system - Wikipedia

    en.wikipedia.org/wiki/Metric_system

    The metric system is a decimal -based system of measurement. The current international standard for the metric system is the International System of Units (Système international d'unités or SI), in which all units can be expressed in terms of seven base units: the metre (m), kilogram (kg), second (s), ampere (A), kelvin (K), mole (mol), and ...